Elements of GeometryGinn and Heath, 1881 - 250 σελίδες |
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Σελίδα 5
... joining these points will lie wholly in the surface . 12. DEF . A Curved Surface is a surface no part of which is plane . 13. Figure or form depends upon the relative position of points . Thus , the figure or form of a line ( straight ...
... joining these points will lie wholly in the surface . 12. DEF . A Curved Surface is a surface no part of which is plane . 13. Figure or form depends upon the relative position of points . Thus , the figure or form of a line ( straight ...
Σελίδα 25
... joining their origins . Parallel lines lie in opposite directions , when they are on opposite sides of the straight line joining their origins . 64. Two parallel lines cannot meet . $ 21 65. Two lines in the same plane perpendicular to ...
... joining their origins . Parallel lines lie in opposite directions , when they are on opposite sides of the straight line joining their origins . 64. Two parallel lines cannot meet . $ 21 65. Two lines in the same plane perpendicular to ...
Σελίδα 59
... joining any two opposite vertices . PROPOSITION XXXVIII . THEOREM . 133. The diagonal of a parallelogram divides the figure into two equal triangles . B C A E Let A B C E be a parallelogram , and A C its diagonal . We are to prove AABC ...
... joining any two opposite vertices . PROPOSITION XXXVIII . THEOREM . 133. The diagonal of a parallelogram divides the figure into two equal triangles . B C A E Let A B C E be a parallelogram , and A C its diagonal . We are to prove AABC ...
Σελίδα 66
... joining the middle points of the non - parallel sides of the trapezoid ABC E. We are to prove SO to AE and BC ; also SO = ( AE + BC ) . Through the point O draw FH to AB , and produce BC to meet FOH at H. In the AFOE and COH O E OC ...
... joining the middle points of the non - parallel sides of the trapezoid ABC E. We are to prove SO to AE and BC ; also SO = ( AE + BC ) . Through the point O draw FH to AB , and produce BC to meet FOH at H. In the AFOE and COH O E OC ...
Σελίδα 68
... joining the vertices of two angles not adjacent . 7 B F E C A ' F B ' C ' D 3 E F E 146. DEF . An Equilateral polygon is one which has all its sides equal . 147. DEF . An Equiangular polygon is one which has all its angles equal . at ...
... joining the vertices of two angles not adjacent . 7 B F E C A ' F B ' C ' D 3 E F E 146. DEF . An Equilateral polygon is one which has all its sides equal . 147. DEF . An Equiangular polygon is one which has all its angles equal . at ...
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A B C AABC AACB ABCD acute adjacent angles alt.-int altitude apothem arc A B BC² bisect centre chord A B circumference circumscribed coincide COROLLARY describe an arc diagonals diameter divided Draw equal arcs equal distances equal respectively equiangular polygon equilateral equilateral polygon equivalent exterior angles figure given line given point given polygon greater homologous sides hypotenuse Iden isosceles triangle Let A B limit line A B measured by arc middle point number of sides parallelogram perimeter perpendicular plane PROBLEM prove Q. E. D. PROPOSITION quadrilateral radii radius equal ratio rect rectangles regular inscribed regular polygon required to construct rhombus right angles right triangle SCHOLIUM segment sides of equal sides of similar similar polygons subtend tangent THEOREM third side triangle ABC variable vertex vertices